| Safe Haskell | Safe |
|---|---|
| Language | Haskell2010 |
Data.Monoid.Cancellative
Description
This module defines the Monoid => CommutativeMonoid => ReductiveMonoid => CancellativeMonoid constraint
synonym hierarchy.
Since most practical monoids in Haskell are not commutative, the last two of these synonyms have two symmetric superclasses each:
This module and its constraint synonyms are provided for compatibility with the older versions of the
monoid-sublasses library. Starting with version 1.0, the classes from the Data.Semigroup.Cancellative module
are recommended instead.
Synopsis
- module Data.Semigroup.Cancellative
- module Data.Monoid.GCD
- type CommutativeMonoid m = (Monoid m, Commutative m)
- type ReductiveMonoid m = (Monoid m, Reductive m)
- type CancellativeMonoid m = (Monoid m, Cancellative m)
- type LeftReductiveMonoid m = (Monoid m, LeftReductive m)
- type RightReductiveMonoid m = (Monoid m, RightReductive m)
- type LeftCancellativeMonoid m = (Monoid m, LeftCancellative m)
- type RightCancellativeMonoid m = (Monoid m, RightCancellative m)
Documentation
module Data.Semigroup.Cancellative
module Data.Monoid.GCD
Symmetric, commutative monoid classes
type CommutativeMonoid m = (Monoid m, Commutative m) Source #
type ReductiveMonoid m = (Monoid m, Reductive m) Source #
type CancellativeMonoid m = (Monoid m, Cancellative m) Source #
Asymmetric monoid classes
type LeftReductiveMonoid m = (Monoid m, LeftReductive m) Source #
type RightReductiveMonoid m = (Monoid m, RightReductive m) Source #
type LeftCancellativeMonoid m = (Monoid m, LeftCancellative m) Source #
type RightCancellativeMonoid m = (Monoid m, RightCancellative m) Source #